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Finding the Fourth Proportional to 1,710.58, 2,360.62 and 1,038.19

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Solution

The fourth proportional to 1,710.58, 2,360.62 and 1,038.19 is: 1,432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.58 : 2,360.62 = 1,038.19 : x
  2. Step 2: Convert to fraction form
    1,710.58/2,360.62 = 1,038.19/x
  3. Step 3: Cross multiply
    1,710.58x = 2,360.62 × 1,038.19
  4. Step 4: Simplify right side
    1,710.58x = 2,450,771.90
  5. Step 5: Solve for x
    x = 2,450,771.90/1,710.58
  6. Step 6: Final answer
    x = 1,432.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.